Description:
| Aims: To introduce the vibrations of mechanical systems in a one degree of freedom context.
To introduce the theory of torsion in non-circular and open- sections, dual axis bending and the concept of fatigue failure.
To introduce German notation and methods for problem solving by reviewing the content of year 1 Solid Mechanics units in the German language.
Learning Outcomes: After taking this unit the student should be able to:
* Set up the equations of motion for systems with one degree of freedom; find natural frequencies of free motion; calculate rates of decay from viscous damping and vice versa; determine motions resulting from a sinusoidal force, unbalance and base excitation.
* Estimate maximum responses using shock spectra.
* Calculate shaft critical speeds.
* Calculate torsional stiffness and strength values for closed and open structural sections.
* Predict bending stresses in dual axis bending.
* Predict the fatigue life of some simple structural forms based on S-N calculations.
* Formulate, solve and discuss simple solid mechanics problems in the German language.
Skills: Problem solving; numeracy; working independently; communicating in the German language.
Content: One degree of freedom systems: free and forced vibration; base excited motion; unbalance excitation; vibration isolation. Torsion of open and closed structural sections, dual axis bending. Stress concentration, fatigue strength and cumulative damage in structural components. Review of Solid Mechanics 1 & 2 in German. Solid mechanics laboratory experiment.
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